Exact solitary and periodic wave solutions for a generalized nonlinear Schrödinger equation

Chengfeng Sun and Hongjun Gao

Chaos, Solitons & Fractals, 2009, vol. 39, issue 5, 2399-2410

Abstract: The generalized nonlinear Schrödinger equation (GNLS) iut+uxx+β∣u∣2u+γ∣u∣4u+iα (∣u∣2u)x+iτ(∣u∣2)xu=0 is studied. Using the bifurcation of travelling waves of this equation, some exact solitary wave solutions were obtained in [Wang W, Sun J,Chen G, Bifurcation, Exact solutions and nonsmooth behavior of solitary waves in the generalized nonlinear Schrödinger equation. Int J Bifucat Chaos 2005:3295–305.]. In this paper, more explicit exact solitary wave solutions and some new smooth periodic wave solutions are obtained.

Date: 2009
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DOI: 10.1016/j.chaos.2007.07.013

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